2.622   ODE No. 622

1. Problem in Latex
2. Mathematica input
3. Maple input

$$y^{\prime }(x)=\frac{1}{y(x)+\sqrt{3x+1}+2}$$ ✓ Mathematica : cpu = 0.385067 (sec), leaf count = 134

$$\text{Solve}[44c_1+6\sqrt{33}{\tanh }^{-1}\left(\frac{3y(x)+7\sqrt{3x+1}+6}{\sqrt{33}(y(x)+\sqrt{3x+1}+2)}\right)=33(\log \left({(y(x)+\sqrt{3x+1}+2)}^2(\frac{1}{{(y(x)+\sqrt{3x+1}+2)}^2}+\frac{3}{2\sqrt{3x+1}(y(x)+\sqrt{3x+1}+2)}-\frac{3}{6x+2})\right)+\log (12x+4)),y(x)]$$

✓ Maple : cpu = 0.209 (sec), leaf count = 83

$$\{\ln (3\sqrt{3x+1}y\left(x\right)+3{\left(y\left(x\right)\right)}^2+6\sqrt{3x+1}-6x+12y\left(x\right)+10)-6\frac{\sqrt{3x+1}}{\sqrt{99x+33}}\mathit{A}\mathit{r}\mathit{t}\mathit{a}\mathit{n}\mathit{h}\left(\frac{3\sqrt{3x+1}+6y\left(x\right)+12}{\sqrt{99x+33}}\right)-\mathit{\_}\mathit{C}\mathit{1}=0\}$$